Finding the Fourth Proportional to 4,138,343,999.90, 6,207,515,999.85 and 3,689,382,643.10
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Solution
The fourth proportional to 4,138,343,999.90, 6,207,515,999.85 and 3,689,382,643.10 is: 5,534,073,964.65
Step by Step Solution
- Step 1: Write the proportion equation
4,138,343,999.90 : 6,207,515,999.85 = 3,689,382,643.10 : x - Step 2: Convert to fraction form
4,138,343,999.90/6,207,515,999.85 = 3,689,382,643.10/x - Step 3: Cross multiply
4,138,343,999.90x = 6,207,515,999.85 × 3,689,382,643.10 - Step 4: Simplify right side
4,138,343,999.90x = 22,901,901,786,612,133,888 - Step 5: Solve for x
x = 22,901,901,786,612,133,888/4,138,343,999.90 - Step 6: Final answer
x = 5,534,073,964.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.